Question

the average annual cost of heating a home woth solar energy is $200 with an inital cost of $9000. During the month of may, the solar energy outlet is offering a 25% discount off the total cost. Express the discounted cost as a function of the number of years.

Answer 1

Answer: Discounted function will be

`C(x)=6750+150t`

Explanation:

Since we have given that

Initial cost of solar energy = $9000

Average annual cost of heating a home with solar energy = $200

Rate of discount he received on the total cost = 25%

Let the number of year will be t

According to question, we need to write a discounted cost as a function of number of years.

So, our function becomes,

`C(x)=(100-25)/(100)(9000+200t)\\\\C(x)=(75)/(100)(9000+200t)\\\\C(x)=0.75(9000+200t)\\\\C(x)=9000* 0.75+200* 0.75t\\\\C(x)=6750+150t`

Hence, discounted function will be

`C(x)=6750+150t`